Inverse Functions HW

Front

A function has an inverse if: f(g(x) = x

Back

True, if g(f(x) = x

Front

Are f(x) = 4x-7 and g(x) = (x+7)/4 inverses of each other?

Back

Yes

Front

Are these functions inverses?

Back

Yes

Front

Find the inverse of
f(x) = 1/4x - 7

Back

f^-1(x) = 4x + 28

Front

Find the inverse of f(x) = -4x - 12

Back

f^-1(x) = -1/4x - 3

Front

If the equation of f(x) goes through (1, 4) and (4, 6), what points does f^-1(x) go through?

Back

(4, 1) and (6, 4)

Front

Which expression represents g(f(x)) if          f(x) = 2x - 8
and
g(x) = 4x

Back

8x - 32

Front

The composition of any function, f(x), and its inverse, f^-1(x) =

Back

x

Front

Find the inverse of f(x) = x² - 5

Back

f^-1(x) = ±√(x+5)

Front

Given f(x)= -3x+7 and g(x)=2x² - 8, find g(f(x)).

Back

g(f(x))=18x²-84x+90